Finding the Third Proportional to 56,891 and 89,234

Step by Step Solution

1. Step 1: Write the proportion equation
   56,891 : 89,234 = 89,234 : x
2. Step 2: Convert to fraction form
   56,891/89,234 = 89,234/x
3. Step 3: Cross multiply
   56,891x = 89,234 × 89,234
4. Step 4: Simplify right side
   56,891x = 7,962,706,756
5. Step 5: Solve for x
   x = 7,962,706,756/56,891
6. Step 6: Final answer
   x = 139,964.26